How Long to Read The Bessel-Plancherel Theorem and Applications

How Long Does it Take to Read The Bessel-Plancherel Theorem and Applications?

It takes the average reader 1 hour and 54 minutes to read The Bessel-Plancherel Theorem and Applications by Raul Gomez

Assuming a reading speed of 250 words per minute. Learn more

Description

/Let G be a simple Lie Group with finite center, and let K\subset G be a maximal compact subgroup. We say that G is a Lie group of tube type if G/K is a hermitian symmetric space of tube type. For such a Lie group G, we can find a parabolic subgroup P=MAN, with given Langlands decomposition, such that N is abelian, and N admits a generic character with compact stabilizer. We will call any parabolic subgroup P satisfying this properties a Siegel parabolic. Let ([pi], V) be an admissible, smooth, Fr\'echet representation of a Lie group of tube type G and let P \subset G be a Siegel parabolic subgroup. If [chi] is a generic character of N, let Wh_[chi](V)=[lambda] : V [longrightarrow] mathbb{C} / [lambda]([pi](n)v)=[chi](n)v} be the space of Bessel models of V. After describing the classification of all the simple Lie groups of tube type, we will give a characterization of the space of Bessel models of an induced representation. As a corollary of this characterization we obtain a multiplicity one theorem for the space of Bessel models of an irreducible representation of G. As an application of this results we calculate the Bessel-Plancherel measure of a Lie group of tube type, L2(N\G;[chi]), where [chi] is a generic character of N. Then we use Howe's theory of dual pairs to show that the Plancherel measure of the space L2(O(p-r, q-s)\O(p, q)) is the pullback, under the [Theta] lift, of the Bessel-Plancherel measure L2(N\Sp(m, \mathbb{R});[chi]), where m=r+s and [chi] is a generic character that depends on r and s.

How long is The Bessel-Plancherel Theorem and Applications?

The Bessel-Plancherel Theorem and Applications by Raul Gomez is 113 pages long, and a total of 28,589 words.

This makes it 38% the length of the average book. It also has 35% more words than the average book.

How Long Does it Take to Read The Bessel-Plancherel Theorem and Applications Aloud?

The average oral reading speed is 183 words per minute. This means it takes 2 hours and 36 minutes to read The Bessel-Plancherel Theorem and Applications aloud.

What Reading Level is The Bessel-Plancherel Theorem and Applications?

The Bessel-Plancherel Theorem and Applications is suitable for students ages 10 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy The Bessel-Plancherel Theorem and Applications?

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